An elementary course of practical mathematics, Parte31851 |
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Página 250
... Compute the fourth term of each of the following proportions , by Logarithms , and prove the first three by common Arithmetic . 1. As 1314 : 3066 :: 558 : 1302 . 2. As 321-33 : 14 · 282 :: 39-419 : 1.752 . ( See Prob- lem vi , Rule 1 ...
... Compute the fourth term of each of the following proportions , by Logarithms , and prove the first three by common Arithmetic . 1. As 1314 : 3066 :: 558 : 1302 . 2. As 321-33 : 14 · 282 :: 39-419 : 1.752 . ( See Prob- lem vi , Rule 1 ...
Página 257
... Compute the solid content of a regular triangular pyramid , whose perpendicular height is 6.99 , each side of the base being 4.18 . Ans . 17.63- . 23. The fixed axis of a prolate spheroid is 7.74 inches , and the revolving axis 5.88 ...
... Compute the solid content of a regular triangular pyramid , whose perpendicular height is 6.99 , each side of the base being 4.18 . Ans . 17.63- . 23. The fixed axis of a prolate spheroid is 7.74 inches , and the revolving axis 5.88 ...
Página 261
... computation of the sides and angles of plane triangles from each other . It does not include the computation of the areas of triangles , which belongs to Mensuration of Surfaces ; and a few problems relating to the sides and altitudes ...
... computation of the sides and angles of plane triangles from each other . It does not include the computation of the areas of triangles , which belongs to Mensuration of Surfaces ; and a few problems relating to the sides and altitudes ...
Página 264
... compute the sine and tangent of 60 ° , and the secant of 45 ° . * 13. When the arc BC is greater I than a quadrant ... computed and arranged in tables ; and , on the discovery of logarithmic arithmetic , the logarithms of the sines ...
... compute the sine and tangent of 60 ° , and the secant of 45 ° . * 13. When the arc BC is greater I than a quadrant ... computed and arranged in tables ; and , on the discovery of logarithmic arithmetic , the logarithms of the sines ...
Página 270
... Compute the length of the perpendicular . Ans . 8.91+ . 2. The base of a right - angled triangle is required , the hypothenuse measuring 89 yds . 2 ft . , and the acute angle at the vertex 35 ° . Ans . 51 yds . 1 ft . + . 674 ° , and ...
... Compute the length of the perpendicular . Ans . 8.91+ . 2. The base of a right - angled triangle is required , the hypothenuse measuring 89 yds . 2 ft . , and the acute angle at the vertex 35 ° . Ans . 51 yds . 1 ft . + . 674 ° , and ...
Términos y frases comunes
angle opposite angles of elevation angular elevation arc BC arithmetical series artificial horizon chains CHAPTER VII ciphers circle column compasses compound interest Compute Cosec Cosine Cotang cube roots decimal point degrees and minutes diagram diameter Divide divisor EDINBURGH EXAMPLE EXERCISES IN CHAPTER extract the square feet figure an integer find the Angles Find the logarithms four figures fourth term geometrical progression given angle given leg given number given side horizontal angles hypothenuse inches instrument LOGARITHMIC SCALES Logarithmic Sine measured miles Multiply NOTE number of degrees object observed opposite the former opposite the latter Perp perpendicular PLANE TRIGONOMETRY Price PROBLEM II PROBLEM VII quadrant quotient radius remove the decimal right-angled triangle Secant sextant side opposite Sliding Rule spirit level square root station Subtract SUTHERLAND AND KNOX Table Tang tangent telescope theodolite third side three figures three sides Treatise versed-sine vertex vertical angle yards
Pasajes populares
Página 282 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 274 - RULE. — Subtract the square of the base from the square of the hypothenuse, and extract the square root of the remainder.
Página 377 - Key to above 60 3. Complete Practical Treatise on the Nature and Use of Logarithms, and on Plane Trigonometry, with Logarithmic and Trigonometrical Tables, . 5 0 4.
Página 245 - To find, then, by logarithms, the fourth term in a proportion, ADD THE LOGARITHMS OF THE SECOND AND THIRD TERMS, AND from the sum SUBTRACT THE LOGARITHM OF THE FIRST TERM.
Página 279 - From D as a center with a radius equal to a, draw an arc intersecting El in F and F'.
Página 292 - ... the angle of reflection is always equal to the angle of incidence, the image for any point can be seen only in the reflected ray prolonged.
Página 279 - Let abc (fig. 1 14) be a spherical triangle, whose sphere has its centre in o, and unity for radius. If now from c, on the plane aob, we let fall the perpendicular cd; from d on ae, bo, the perpendiculars de, df, and draw ce, cf; it would be easy to show that the triangles ceo, cfo are right angles...
Página 278 - To find a side, work the following proportion: — as the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side.
Página 243 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 284 - That is, as the base, is to the sum of the two sides; so is the difference of the sides, to the sum of the segments of the base.